Gear Tooth Surface Modeling And Simulation Analysis Based On The New-generation GPS

Gear is one of the most widely used transmission parts in mechanical transmission.The traditional gear tolerance obtained by measuring instrument is not suitable for computer aided tolerance analysis.With the introduction of the new generation of product geometry specification(GPS).The geometric specification and certification of the gear are carried out under the unified standard system,and the surface model of the gear is obtained by simulation analysis in the gear design stage.Therefore,it is necessary to establish a parametric mathematical model which contains the geometric deviation information of the gears in order to realize the computer aided tolerance analysis and the meshing analysis of gear pair with tolerance information.In this paper,based on the new generation of product geometry technology,the parametric modeling of the azimuth characteristic deviation which affects the precision of the gear transmission is studied.At the same time,based on the extraction of the error parameters of the gear tooth surface morphology,the three-dimensional modeling of the gear with the tooth profile error is carried out.Based on the finite element method,the influence of the tooth surface topography characteristic deviation on the maximum contact stress and strain during the gear transmission is studied.The computer aided tolerance analysis and meshing analysis of gear pair with tolerance information are realized.The main work of this paper is as follows:(1)The basic principles and methods of the new generation of product geometry are studied,and the application and modeling principle of the new generation product geometric technical specification in the gear tolerance modeling are studied.In this paper,the representation principle and mathematical modeling method of tooth surface azimuth deviation are presented,and the mathematical model of the gear characteristic parameters with respect to the location of the center hole is established.(2)A simulating investigation is performed using TCA(Tooth Contact Analysis)technique for the kinematic effects on the helical gears with azimuth errors base on ISO-GPS(Geometrical Product Specification)standard.(3)The error reconstruction method based on the characteristic parameters of the gear surface topography is studied.A mathematic model with parameters of tooth surface waviness and roughness is established.Through the use of mathematical model with error parameters to generate dense data points into the CATIA,so as to achieve three-dimensional gear modeling.The error is realized in the commercial CAD software,and the computer integration of error information is realized.(4)By means of finite element analysis,the three-dimensional dynamic model of the gear with error information is simulated and analyzed.The influence of gear tooth surface profile error on the maximum contact stress and strain of gear is studied.Provide reference for gear precision design and strength design.